Is this set {0,1,1/2,1/3,...} a Cantor set in [0,1] with the discrete topology?
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What do you mean by "a" Cantor set?
By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense.
Originally Posted by Veve By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense. If a set $\displaystyle X$ is a perfect set then if $\displaystyle x \in X$, $\displaystyle x$ is a limit point of $\displaystyle X$.
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